Malcev algebras corresponding to smooth almost left automorphic Moufang loops

@article{CarrilloCatalan2018MalcevAC,
  title={Malcev algebras corresponding to smooth almost left automorphic Moufang loops},
  author={Ramiro Carrillo-Catal'an and Marina Rasskazova and Liudmila Sabinina},
  journal={Journal of Algebra and Its Applications},
  year={2018}
}
In this note, we introduce the concept of an almost left automorphic Moufang loop and study the properties of tangent algebras of smooth loops of this class. 
2 Citations

Moufang Theorem for a variety of local non-Moufang loops

An open problem in theory of loops is to find the variety of non- Moufang loops satisfying the Moufang Theorem. In this note, we present a variety of local smooth diassociative loops with such

The Moufang theorem for all analytic loops from a non-Moufang variety of loops

Abstract A loop Q satisfies the Moufang theorem if Q possesses the following property: let be associate, that is then x, y, z generate a subgroup of Q. It remains an open problem in the theory of

References

SHOWING 1-10 OF 11 REFERENCES

On Smooth Power-Alternative Loops

Abstract The aim of this paper is to show that if at every point of some neighborhood of a smooth manifold with an affine connection the geodesic loop is power-alternative and left A-loop, then this

Quadratic alternative algebras

Quadratic alternative algebras are completely classified, up to isomorphism, by means of the associated set of ‘‘vectors.’’ They include the quaternion and octonion algebras, but also many other

On Malcev algebras.

THEOREM A. A semisimple Malcev algebra over a field of characteristic zero is a direct sum of ideals which are simple as algebras. In the present paper all these notions of solvability are shown to

Smooth Quasigroups and Loops

Preface. Introduction. 0. Introductory Survey: Quasigroups, Loopuscular Geometry and Nonlinear Geometric Algebra. Part One: Fundamental Structures of Nonlinear Geometric Algebra. 1. Basic Algebraic

On the relation between Mal'tsev algebras and analytic Mufang groups